The radius of the circle is given to be r = 14.5
Let the center be O. So OB is the radius = 14.5
We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.
So, we can write:

Thus, the measure of OA = 10.5
OB = OA + AB
14.5 = 10.5 + AB
⇒
AB = 4
Answer:
x=40
Step-by-step explanation:
Angle Formed by Two Secants= 1/2(DIFFERENCE of Intercepted Arcs)
x = 1/2(120-40)
x = 1/2(80)
x = 40
Answer:
y=7
Step-by-step explanation:
The two given angels are congruent so they must be equal in measure.
Set them up equal and find y.
8y = 5y + 21, subtract 5y from both sides
8y -5y = 21, combine like terms
3y = 21, divide both sides by 3
y = 7